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Grade 12 : Mathematics - Relations (Set 3) | Concept of Maths
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1. Let $R$ be a relation on the set $\mathbb{Z}$ defined by aRb if and only if $|a - b| \le 1$. Which of the following is true?
R is an equivalence relation
R is transitive but not symmetric
R is reflexive and symmetric but not transitive
R is symmetric and transitive but not reflexive
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Grade 12 : Mathematics - Relations (Set 3) | Concept of Maths